Study of Plasma Rotation by Modulating ICRF Power on Alcator C-Mod

X-ray emission intensity and toroidal rotation velocity profiles are studied with modulated ICRF heating using high resolution X- ray spectometers and analysis tools that provide spatially- resolved intensity, ion-temperature, and rotation profiles. These profiles respond to the power modulation with different behaviors under plasma current and magnetic field scans. Preliminary analysis shows that modulated intrinsic rotation scales with modulated stored energy ($\sim$1 km/s$\cdot$kJ). Fourier analysis indicates the rotation propagates from the edge to the core. Further analysis will be done on the relation between local plasma energy and intrinsic rotation to separate local and non-local effects of stored energy on intrinsic rotation. A linear acceleration term associated with the toroidal rotation velocity is observed in ICRF-modulated L mode discharges, which we will try to relate to the diffusion and convection terms of momentum flux.